Alternating Dimension Plasma Transport in Three Dimensions
Alternating Dimension Plasma Transport in Three Dimensions
复制标题
三维交替维度等离子体传输
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
H. Grad
中科院分区：
文献类型：
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作者：
H. Grad
本文将求解宏观绝热和输运问题的交替维(1 1/2 D)方法推广到任意三维环形等离子体约束系统。主要的新结果是导出了极向和环向通量的演化方程，其中二阶导数可以显式地表示系统是扩散的。这推广了以前关于二维、轴对称和螺旋对称的结果，其中磁场的通量函数是可忽略坐标和EBT闭合磁线构型的显式结果。本征值(扩散系数)被评估，并被显示为表示绝热变量之间的一维相对扩散，与表示无关(例如，扩散是相对于质量、环向通量还是极向通量来测量的)。集肤效应扩散系数与其他系数去耦合，并且表示一个磁场分量相对于另一个磁场分量的扩散。其他输运系数，如质量流和能量流的输运系数，本质上是相互耦合的。与以前实现的交替尺寸代码一样，按照这些规范构建的3D代码应该非常准确和高效。
The alternating dimension (1 1/2 D) method of solving macroscopic adiabatic and transport problems is here generalized to arbitrary 3-D toroidal plasma confinement systems. The principal new result is the derivation of an evolution equation for the poloidal and toroidal fluxes in which second derivatives can be explicitly exhibited to show that the system is diffusive. This extends previous results in 2-D, axial symmetry and helical symmetry, where the flux functions for the magnetic field are explicit consequences of an ignorable coordinate, and the EBT closed magnetic line configuration. The eigenvalues (diffusion coefficients) are evaluated and are shown to represent one-dimensional relative diffusion among the adiabatic variables, independent of the representation (e.g. whether diffusion is measured relative to mass, or toroidal flux, or poloidal flux). The skin effect diffusion coefficient decouples from the other coefficients and represents diffusion of one magnetic field component relative to the other. Other transport coefficients such as those for mass and energy flow are intrinsically coupled. As in previously implemented alternating dimension codes, a 3-D code built to these specifications should be expected to be extremely accurate and efficient.